686768544 has 576 divisors, whose sum is σ = 2676989952. Its totient is φ = 167961600.

The previous prime is 686768543. The next prime is 686768603. The reversal of 686768544 is 445867686.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (686768543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18561294 + ... + 18561330.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2^686768544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686768544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338494976).

686768544 is an abundant number, since it is smaller than the sum of its proper divisors (1990221408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

686768544 is a wasteful number, since it uses less digits than its factorization.

686768544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 686768544 is about 26206.2691736157. The cubic root of 686768544 is about 882.2739673694.

The spelling of 686768544 in words is "six hundred eighty-six million, seven hundred sixty-eight thousand, five hundred forty-four".